{
  "cells": [
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "ExecuteTime": {
          "end_time": "2019-07-30T01:37:05.335534Z",
          "start_time": "2019-07-30T01:37:00.103604Z"
        },
        "colab": {},
        "colab_type": "code",
        "id": "yM7a1hSrFAp8",
        "scrolled": true
      },
      "outputs": [],
      "source": [
        "import os\n",
        "import sys\n",
        "from matplotlib import pyplot as plt\n",
        "import numpy as np\n",
        "from datadrivenpdes.core import equations\n",
        "from datadrivenpdes.core import grids\n",
        "import datadrivenpdes as pde\n",
        "import tensorflow as tf\n",
        "tf.enable_eager_execution()\n",
        "import xarray as xr"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "-NhjiAFIFAqA"
      },
      "source": [
        "# First example: Advection diffusion"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "mykcRBK8FAqB"
      },
      "source": [
        "In this example we'll see how to integrate in time a pre-defined equation. Here we deal with the Advection-Diffusion equation, which describes the time evolution of the concentration $c(x,y,t)$ when it is advected by the velocity field $\\vec v(x,y)=(v_x(x,y), v_y(x,y)$ and also undergoes diffusion. The equation reads\n",
        "$$\\frac{\\partial c}{\\partial t}+\\vec{v}\\cdot\\vec{\\nabla}c= D \\nabla^2 c$$\n",
        "where $D$ is the diffusion coefficient. The equation is implemented in various forms in the folder `advection/equations`. Here we choose the Finite Volume formulation."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "ExecuteTime": {
          "end_time": "2019-07-30T01:37:06.286756Z",
          "start_time": "2019-07-30T01:37:06.281839Z"
        },
        "colab": {},
        "colab_type": "code",
        "id": "TGPGYmlcFAqB"
      },
      "outputs": [],
      "source": [
        "equation = pde.advection.equations.FiniteVolumeAdvectionDiffusion(diffusion_coefficient=0.01)\n",
        "grid = grids.Grid.from_period(size=256, length=2*np.pi)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "2_mF2msfFAqD"
      },
      "source": [
        "Note that we also chose a grid to solve the equation on. The $x$ and $y$ coordinates can be obtained by"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "ExecuteTime": {
          "end_time": "2019-07-30T01:37:07.803146Z",
          "start_time": "2019-07-30T01:37:07.795677Z"
        },
        "colab": {},
        "colab_type": "code",
        "id": "TUP7d8fBFAqE"
      },
      "outputs": [],
      "source": [
        "x, y = grid.get_mesh()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "1TPDzKzhFAqG"
      },
      "source": [
        "To integrate in time we need an initial state. Equations instances have a `random_state` method that generates a state. The distribution of these initial conditions, when sampled from different seeds, will define the training set for later. Let's sample one random initial state and plot it:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "ExecuteTime": {
          "end_time": "2019-07-30T01:37:23.098488Z",
          "start_time": "2019-07-30T01:37:18.123449Z"
        },
        "colab": {
          "height": 281
        },
        "colab_type": "code",
        "executionInfo": {
          "elapsed": 9560,
          "status": "ok",
          "timestamp": 1564594249495,
          "user": {
            "displayName": "Stephan Hoyer",
            "photoUrl": "https://lh3.googleusercontent.com/a-/AAuE7mBFoLiY4mmir8ylhIIAroIoi4tWHgcpTwwwvPiy=s64",
            "userId": "01386112912994523038"
          },
          "user_tz": 420
        },
        "id": "eoDrztVBFAqH",
        "outputId": "6d959475-4891-4934-9adb-aabf0e753a10"
      },
      "outputs": [
        {
          "data": {
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WA1azAZNBpq7FSb3NiSJBVlkjZfV2qhrtbHp4EvJPwLo2h4uqZictDhfNDhWr2UBCqP9p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\nhHBxJn+ypBlXexVz43xIL2nmm1MVXA4mk4nHN+dQ2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ZTmbh0/n6tBq5Jzw7hgmrt0dPTp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c9EYT7+4vR+1gx6qMsfptdp1WNBj43fXUDoyQ19BjkS3sHE03m0k4u64bo2miCMq6/RUcLG0n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qC1U83aY3msP1lAe5eG8WFOOFiZYWthhpWZCdUt+hrotEjXW6YnbwWdTkdVs5KShg4Ka9uo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\nAAAASUVORK5CYII=\n",
            "text/plain": [
              "\u003cFigure size 800x400 with 2 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "initial_state = equation.random_state(grid, seed=7109179)\n",
        "fig, axs = plt.subplots(1,2, figsize=(8,4))\n",
        "axs[0].pcolor(grid.get_mesh()[1],\n",
        "              grid.get_mesh()[0],\n",
        "              initial_state['concentration'])\n",
        "axs[0].set_title('initial concentration')\n",
        "\n",
        "axs[1].streamplot(grid.get_mesh()[1],\n",
        "                  grid.get_mesh()[0],\n",
        "                  initial_state['y_velocity'],initial_state['x_velocity'],\n",
        "                  density=2)\n",
        "axs[1].set_title('velocity field');"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "WQCD_z7pFAqJ"
      },
      "source": [
        "The state of an equation is a `dict` object that contains all relevant fields needed for integrating in time. For advection diffusion these are `concentration`, `x_velocity`, and  `y_velocity`:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "ExecuteTime": {
          "end_time": "2019-06-26T13:22:45.038811Z",
          "start_time": "2019-06-26T13:22:45.032503Z"
        },
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "executionInfo": {
          "elapsed": 314,
          "status": "ok",
          "timestamp": 1564594251337,
          "user": {
            "displayName": "Stephan Hoyer",
            "photoUrl": "https://lh3.googleusercontent.com/a-/AAuE7mBFoLiY4mmir8ylhIIAroIoi4tWHgcpTwwwvPiy=s64",
            "userId": "01386112912994523038"
          },
          "user_tz": 420
        },
        "id": "GqTrWw6EFAqJ",
        "outputId": "c2bc8747-e54b-4888-8215-280753e27be3"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "dict_keys(['concentration', 'x_velocity', 'y_velocity'])\n"
          ]
        }
      ],
      "source": [
        "print(initial_state.keys())"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "8tOYad5vFAqN"
      },
      "source": [
        "To perform the actual integration we need to choose a method with which to estimate the spatial derivatives of the concentration $c$. The object which estimates the derivatives is called a `model` and there are various models defined in `models.py`. Here we will use a finite difference estimation. Lastly, we need to choose a timestep, which we can ask the equation instance to supply."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "ExecuteTime": {
          "end_time": "2019-06-25T20:43:27.466493Z",
          "start_time": "2019-06-25T20:43:21.526997Z"
        },
        "colab": {},
        "colab_type": "code",
        "id": "nLd40DFgFAqN"
      },
      "outputs": [],
      "source": [
        "time_step = equation.get_time_step(grid)\n",
        "times = time_step*np.arange(400)\n",
        "results = pde.core.integrate.integrate_times(\n",
        "    model=pde.core.models.FiniteDifferenceModel(equation,grid),\n",
        "    state=initial_state,\n",
        "    times=times, axis=0)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "qKC-lw9CFAqP"
      },
      "source": [
        "The result is a `dict` object. The `concentration` member of the dict is a tensor whose first axis corresponds to the times at which the solution was evaluated. Here we save the result as an `xarray.DataArray`, which makes it easy to plot."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "ExecuteTime": {
          "end_time": "2019-06-25T20:48:19.623078Z",
          "start_time": "2019-06-25T20:48:17.976254Z"
        },
        "colab": {
          "height": 263
        },
        "colab_type": "code",
        "executionInfo": {
          "elapsed": 2627,
          "status": "ok",
          "timestamp": 1564594268508,
          "user": {
            "displayName": "Stephan Hoyer",
            "photoUrl": "https://lh3.googleusercontent.com/a-/AAuE7mBFoLiY4mmir8ylhIIAroIoi4tWHgcpTwwwvPiy=s64",
            "userId": "01386112912994523038"
          },
          "user_tz": 420
        },
        "id": "ai4EKT1YFAqQ",
        "outputId": "c185f772-14f3-4e83-8b71-4fc3ed3fd202"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "\u003cxarray.plot.facetgrid.FacetGrid at 0x7f0904f70978\u003e"
            ]
          },
          "execution_count": 8,
          "metadata": {
            "tags": []
          },
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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FudqhjxBrLGlxT1aYPRRRI1kqgJUrPDxhFyboOHvyKItxzoCCwOe5knnRxvKm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\nERERpRSLeiIiIiIiIqKU+l+q5OZvo9WdygAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "\u003cFigure size 1600x300 with 6 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "conc=xr.DataArray(results['concentration'].numpy(),\n",
        "                  dims=['time', 'x','y'],\n",
        "                  coords={'time':times, 'x': x[:,0], 'y': y[0]}\n",
        "                 )\n",
        "conc[::99].plot(col='time', robust=True, aspect=1)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2019-06-16T04:27:35.787887Z",
          "start_time": "2019-06-16T04:27:35.779731Z"
        },
        "colab_type": "text",
        "id": "KdA2S0AsFAqS"
      },
      "source": [
        "# Defining a new equation"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "mpd3kNJnFAqT"
      },
      "source": [
        "In this section we learn how to define a new equation. We will look at coupled reaction diffusion equations, aka the **Turing Equation**. They decscribe the evolution of two fields, $A$ and $B$, according to:\n",
        "$$\\begin{align}\n",
        "\\frac{\\partial A}{\\partial t} \u0026= D_A\\nabla^2 A + R_A(A,B)+S\\\\\n",
        "\\frac{\\partial B}{\\partial t} \u0026= D_B\\nabla^2 B + R_B(A,B)\n",
        "\\end{align}$$\n",
        "$D_{A,B}$ are the diffusion constants of $A$ and $B$, $R_{A,B}$ are nonlinear reaction terms and $S$ is some constant source term. For example, we'll take\n",
        "$$\\begin{align}\n",
        "R_A\u0026=A(1-A^2)-\\alpha B \u0026 \n",
        "R_B\u0026=\\beta(A-B)\n",
        "\\end{align}$$\n",
        "where $\\alpha$ and $\\beta$ are model parameters. For simplicity, we'll implelment the equation in one spatial dimension. "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "jLUMnMR9FAqU"
      },
      "source": [
        "## Equation Keys\n",
        "Because the computational framework is [fully differentiable](https://en.wikipedia.org/wiki/Differentiable_programming), defining an equation requires specifiying in advance what are the quantities that are used in calcualting time derivatives. These are called **keys** and are stored in the `equation` attribute `key_definitions`. In our case, to calculate the time evolution we need $A, B, \\partial_{xx}A, \\partial_{xx}B $ and $S$.\n",
        "\n",
        "The auxilliary function `states.StateDefinition` defines these keys. Its input arguments are:\n",
        "* `name` - The base name of the field. For example, the field $\\partial_{xx} A$ is derived from the base field `A`.\n",
        "* `tensor_indices` - In 2D and above, specify whether a field is a component of a tensor (like $v_x$ and $v_y$ in the advection example).\n",
        "* `derivative_orders` - Specifies whether a key is a spatial derivative of a different key.\n",
        "* `offset` - Specifies whether a field is evaluated off the center point of a grid (useful for staggered grids, e.g. finite volume schemes)\n",
        "\n",
        "For example, in our case the `key_definitions` for $A$ and $\\partial_{xx}A$ are"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "Q_CV5YaYFAqU"
      },
      "source": [
        "```python\n",
        "key_definitions = {\n",
        "    'A': states.StateDefinition(name='A',     \n",
        "                  tensor_indices=(),          # Not used in one dimenional equations\n",
        "                  derivative_orders=(0,0,0),  # A is not a derivative of anything else\n",
        "                  offset=(0,0)),              # A is evaluated on the centerpoints of the grid\n",
        "    \n",
        "    'A_xx': states.StateDefinition(name='A',       # A_xx is is derived from A\n",
        "                     tensor_indices=(),\n",
        "                     derivative_orders=(2, 0, 0),  # Two derivatives on the x axis\n",
        "                     offset=(0, 0)),               \n",
        "  }\n",
        "```\n",
        "There are two types of keys: those that evolve in time, in our case $A$ and $B$, and constant ones, in our case $S$ (and in the Advection Diffusion example - the velocity field $v$). When defining the equation we need to set the attributes `evolving_keys` and `constant_keys`, which are both python `set`s. \n",
        "\n",
        "The different keys of an `Equation` instance can be inspected with\n",
        "```python\n",
        "equation.all_keys        # in our case: {'A', 'A_xx', 'B', 'B_xx', 'Source'}\n",
        "equation.base_keys       # in our case: {'A', 'B', 'Source'}\n",
        "equation.evolving_keys   # in our case: {'A', 'B'}\n",
        "equation.constant_keys   # in our case: {'Source'}\n",
        "```\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "ExecuteTime": {
          "end_time": "2019-06-25T21:43:42.931904Z",
          "start_time": "2019-06-25T21:43:42.905471Z"
        },
        "colab_type": "text",
        "id": "TDH2VtLtFAqV"
      },
      "source": [
        "## Defining the equation"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "1JkTJmnQFAqW"
      },
      "source": [
        "Here is a full definition of the equation:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "ExecuteTime": {
          "end_time": "2019-07-30T01:42:20.921818Z",
          "start_time": "2019-07-30T01:42:20.885474Z"
        },
        "colab": {},
        "colab_type": "code",
        "id": "7UyAheebFAqW"
      },
      "outputs": [],
      "source": [
        "from datadrivenpdes.core import equations\n",
        "from datadrivenpdes.core import grids\n",
        "from datadrivenpdes.core import polynomials\n",
        "from datadrivenpdes.core import states\n",
        "import scipy as sp\n",
        "\n",
        "\n",
        "def smooth_random_field(N, amp=0.1, np_random_state=None):\n",
        "    \"\"\"\n",
        "    generates a random field of shape (N,1) and smoothes it a bit\n",
        "    \"\"\"\n",
        "    if np_random_state is None:\n",
        "      np_random_state = np.random.RandomState()\n",
        "    noise=np_random_state.randn(N)  \n",
        "    kernel=np.exp(-np.linspace(-6,6,N)**2)  \n",
        "    return amp*sp.ndimage.convolve(noise, kernel, mode='wrap')[:,np.newaxis]\n",
        "\n",
        "class TuringEquation(equations.Equation):\n",
        "\n",
        "    DISCRETIZATION_NAME = 'finite_difference'\n",
        "    METHOD = polynomials.Method.FINITE_DIFFERENCE\n",
        "    MONOTONIC = False\n",
        "    CONTINUOUS_EQUATION_NAME = 'Turing'\n",
        "\n",
        "    key_definitions = {\n",
        "        'A': states.StateDefinition(name='A',\n",
        "                      tensor_indices=(),\n",
        "                      derivative_orders=(0,0,0),\n",
        "                      offset=(0,0)),\n",
        "        'A_xx': states.StateDefinition(name='A',\n",
        "                         tensor_indices=(),\n",
        "                         derivative_orders=(2, 0, 0),\n",
        "                         offset=(0, 0)),\n",
        "        'B': states.StateDefinition(name='B',\n",
        "                      tensor_indices=(),\n",
        "                      derivative_orders=(0, 0, 0),\n",
        "                      offset=(0, 0)),\n",
        "        'B_xx': states.StateDefinition(name='B',\n",
        "                         tensor_indices=(),\n",
        "                         derivative_orders=(2, 0, 0),\n",
        "                         offset=(0, 0)),\n",
        "        'Source' : states.StateDefinition(name='Source',\n",
        "                         tensor_indices=(),\n",
        "                         derivative_orders=(0, 0, 0),\n",
        "                         offset=(0, 0)),\n",
        "    }\n",
        "    evolving_keys = {'A', 'B'}\n",
        "    constant_keys = {'Source'}\n",
        "\n",
        "    def __init__(self, alpha, beta, D_A, D_B, timestep=1e-4):\n",
        "        self.alpha = alpha\n",
        "        self.beta = beta\n",
        "        self.D_A = D_A\n",
        "        self.D_B = D_B\n",
        "        self._timestep = timestep\n",
        "        super().__init__()\n",
        "    \n",
        "    def time_derivative(\n",
        "          self, grid, A, A_xx, B, B_xx, Source):\n",
        "        \"\"\"See base class.\"\"\"\n",
        "        rA = self.reaction_A(A, B)\n",
        "        rB = self.reaction_B(A, B)\n",
        "        diff_A = self.D_A * A_xx\n",
        "        diff_B = self.D_B * B_xx\n",
        "        return {'A': rA + diff_A + Source,\n",
        "                'B': rB + diff_B,}\n",
        "\n",
        "    def reaction_A(self, A, B):\n",
        "        return A - (A ** 3) - B + self.alpha\n",
        "\n",
        "    def reaction_B(self, A, B):\n",
        "        return (A - B) * self.beta\n",
        "\n",
        "    def get_time_step(self, grid):\n",
        "        return self._timestep\n",
        "\n",
        "    def random_state(self, grid, seed=None, dtype=tf.float32):\n",
        "        if seed is None:\n",
        "            R = np.random.RandomState()\n",
        "        else:\n",
        "            R = np.random.RandomState(seed=seed)\n",
        "\n",
        "        state = {\n",
        "          'A': smooth_random_field(N=grid.size_x, np_random_state=R),\n",
        "          'B': smooth_random_field(N=grid.size_x, np_random_state=R),\n",
        "          'Source': smooth_random_field(N=grid.size_x, np_random_state=R),\n",
        "        }\n",
        "\n",
        "        state = {k: tf.cast(v, dtype) for k, v in state.items()}\n",
        "        return state"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "H-IcadzhFAqY"
      },
      "source": [
        "Now we can generate a random state and evolve it in time"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "ExecuteTime": {
          "end_time": "2019-07-30T01:44:24.684566Z",
          "start_time": "2019-07-30T01:44:20.028551Z"
        },
        "colab": {},
        "colab_type": "code",
        "id": "Al1gYxnaFAqZ"
      },
      "outputs": [],
      "source": [
        "eq = TuringEquation(alpha=-0.0001, beta=10, D_A=1, D_B=30)\n",
        "NX=100\n",
        "NY=1 # 1D can be obtained by haveing a y dimension of size 1\n",
        "LX=200\n",
        "grid = grids.Grid(NX, NY, step=LX/NX)\n",
        "x, y=grid.get_mesh()\n",
        "\n",
        "initial_state = eq.random_state(grid=grid, seed=12345)\n",
        "times = eq._timestep*np.arange(0, 1000, 20)\n",
        "model = pde.core.models.FiniteDifferenceModel(eq,grid)\n",
        "res = pde.core.integrate.integrate_times(\n",
        "    model=model,\n",
        "    state=initial_state,\n",
        "    times=times, axis=0)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "ExecuteTime": {
          "end_time": "2019-07-30T01:42:28.003184Z",
          "start_time": "2019-07-30T01:42:26.945795Z"
        },
        "colab": {
          "height": 370
        },
        "colab_type": "code",
        "executionInfo": {
          "elapsed": 773,
          "status": "ok",
          "timestamp": 1564594316923,
          "user": {
            "displayName": "Stephan Hoyer",
            "photoUrl": "https://lh3.googleusercontent.com/a-/AAuE7mBFoLiY4mmir8ylhIIAroIoi4tWHgcpTwwwvPiy=s64",
            "userId": "01386112912994523038"
          },
          "user_tz": 420
        },
        "id": "lyFfGygLFAqa",
        "outputId": "4ae666fd-9c05-4efa-b0b6-52c4b90ec21f"
      },
      "outputs": [
        {
          "data": {
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AAAACTJIBAACAwLJMt4hZbhXqYVXpYgurrLFMBakD1otUJofrzVGYvPFKoCki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\nAElFTkSuQmCC\n",
            "text/plain": [
              "\u003cFigure size 1000x500 with 2 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig, axs=plt.subplots(1,2, figsize=(10,5), sharey=True)\n",
        "for ax, k in zip(axs, ['A','B']):\n",
        "    ax.pcolormesh(x.flat, times, res[k].numpy()[...,0], cmap='RdBu')\n",
        "    ax.set_title(k)\n",
        "    ax.set_xlabel('x')\n",
        "axs[0].set_ylabel('time')\n",
        "fig.tight_layout()"
      ]
    }
  ],
  "metadata": {
    "colab": {
      "collapsed_sections": [],
      "last_runtime": {
        "build_target": "//research/biology/collaborations/superres:notebook",
        "kind": "shared"
      },
      "name": "Tutorial.ipynb",
      "provenance": [
        {
          "file_id": "1vlpq0pYLLNdDUukHE48w2SWIDDebyeZC",
          "timestamp": 1564594408566
        }
      ],
      "version": "0.3.2"
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}
